The area of the quadrilateral is 252 sqm and the length of the perpendiculars dropped on it from the remaining vertices are 8m and 13m.Find the length of the diagonal of the quadrilateral.
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Answer:
24m
Step-by-step explanation:
Area of quadrilateral = 1/2 × Diagonal × (Sum of Perpendiculars)
Given, area = 252 m², perpendiculars = 8m and 13m
=> 252 = 1/2 × Diagonal × (8+13)
=> 252 × 2 = Diagonal × 21
=> 504 = Diagonal × 21
=> 504/21 = Diagonal
=> Diagonal = 24m
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